70609812920640 has 1120 divisors, whose sum is σ = 300312435354624. Its totient is φ = 15410650152960.

The previous prime is 70609812920627. The next prime is 70609812920663. The reversal of 70609812920640 is 4602921890607.

70609812920640 is a `hidden beast` number, since 7 + 0 + 609 + 8 + 1 + 2 + 9 + 20 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 349533904 + ... + 349735856.

Almost surely, 2^{70609812920640} is an apocalyptic number.

70609812920640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70609812920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150156217677312).

70609812920640 is an abundant number, since it is smaller than the sum of its proper divisors (229702622433984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70609812920640 is a wasteful number, since it uses less digits than its factorization.

70609812920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202077 (or 202058 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 70609812920640 in words is "seventy trillion, six hundred nine billion, eight hundred twelve million, nine hundred twenty thousand, six hundred forty".